dy 9. Find for y=xVx+ 1

Q: 2. An object is dropped from a stationary balloon at 500m. (a--9.8m/s²)( a. Express the object's hei...

A: This is a problem related to newton's law of motion. By using general formula of motion's we will ca...

Q: 2 + x², -2 <x< 0 1. f(x)dx; f(x) = -x + 2, 0<x<4 -2 2

A: Given query is to find the value of the integral.

Q: Write an equation for the function graphed below 5+ 7 -6 5 -2 6.7 -2

A:   From the given figure, the vertical asymptotes are x=-3 and x=5, the horizontal asymptote is y=2 a...

Q: dx

A: Topic = Integration

Q: (x+1)' sin x (c) lim- 2x x-0 (d) sinx lim 0 5x 20 +sin e lim (e) 40 бх -sin 2x lim X-0 2x+3sin 4x (f...

A: Using l hospital rule evaluate limit. 

Q: find the second derivative of y=[(tane^2x)+(e^tan3x)]

A: The guven function, y=tane2x+etan(3x)

Q: Carbon decays exponentially. How many grams of the carbon will be left in 123 years, if 161 grams we...

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Q: sec. sec A x2 + 1 x2 +1 2x Option 1 Option 2 x² – 1 x2 – 1 - 2x Option 3 Option 4

A: Given secA+tanA=x To find secA:

Q: c) : Evaluate the integral xp- x2-4x-5

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Q: Consider the function f(r) - on the interval 2, 6. Find the average or mean slope of the function on...

A: f(x)=1xInterval [2, 6]f(2)=12f(6)=16The mean slope=f(6)-f(2)6-2Mean slope = 16-124Mean slope = -44(1...

Q: Find dy/dx y=4sin(x)-5cos(x)

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Q: The expression below is an evaluation of which integral? * 6x + 3 ln|æ – 2| – 18 ln|æ + 4| +c 2x2 – ...

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Q: Find Vlak| for the series. k k k + 12 k=0 (Express numbers in exact form. Use symbolic notation and ...

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Q: f(x)dx if V3 Find 3 | f(x)dx = -2 and f(x)dx = 4 f(x)dx = 3

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Q: n (a) an = (-1)" n+1 (b) an Vn +1 In(n®) (c) an = 2n

A: This is a problem of series and sum calculator. By using several available method we will determine ...

Q: 6. Use the Method of Substitution to find the indefinite integrals: et*dt b) /; 9 xp=

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Q: explanations

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Q: The domain of the function f(x,y)=3x+e 1s: D ={cx;y)eR?/(x +Dn² + y² 23} D ={x;y) eR?/(x –1)² +y² <3...

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Q: Suppose f(x) is continuous and increasing on [a, b], and concave up on (a, b). Is Lo (the Left-Hand ...

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Q: C b 630 A 53

A: Topic = Triangle

Q: x +1 limx→∞ х3 — 1

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Q: d: (a) lim ズー2 オー2--(*+1)

A: Answer:  The solution is as shown below:

Q: True or False: To evaluate the integral dr, 9. we use substitution withz= 3 sec 0, where Select one:...

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Q: Use the Comparison Test to determine if the series 2+ In n n sin? n n=1

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Q: The table below gives selected values for the differentiable and decreasing function f and its deriv...

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Q: C. Optimization 1. Use the first derivative test to determine the relative extrema of the following ...

A: The given function f(x)=x2x-22

Q: dx

A: Given problem:-

Q: For each of the following functions, find all local maximum and mini- mum points. х, х# 3, 5, 7, 9 5...

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Q: 7. g(t) = tỉ %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: 5. y = xArctanx - In VI+x

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Q: (1x) +3 . Is-3 Check the continuity of f(x) ={-2x , -3 <x< 3 12 3 (6x + 2 ,

A: Here we have to check the continuity of the given function f(x).

Q: 3. Determine whether each of the following series is convergent or divergent using the appropriate t...

A: To check the convergence of the given series.

Q: 1dx

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Q: Let a, b be real numbers and consider the integral (ax² + b) cos(x)dx. Using integration by parts wi...

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Q: 7- I = [sec(2x) tan(2.x)dx cos(2x) 8- I = dx 4-sin (2x) csc (In(x)) 9. I: dx

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Q: Work Problem 1 Evaluate the integral 13 (x+3)°dx

A: Topic = Integration

Q: 4. Starting from the same point, Royden starts walking eastward at 0.5 m/s while Nilo starts running...

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Q: Solve for the angle in the equation. * a. sin (30 + 72)° = cos 48° b. 4 sin? (§) + 8 cos () – 7 = 0 ...

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Q: 10. x= cost; y = sin't

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Q: for a particular commodity, the demand function is q= 1/4(400-p^3). fine e when p=6

A: To find e when p=6

Q: 1. y = x - x'cosx + 2xsinx + 2cosx 2sim x-1 2. y= cosx+2 3. tan(xy) + xy = 0 4. y= x 5. y = xArctanx...

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Q: The concentration of a drug in the bloodstream C(t) at any time t, and hours, is described by the eq...

A: The concentration of drug reaches its maximum when                         C'(t) = 0find the values ...

Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal...

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Q: The graph of a company's marginal profit P'(t) at month t is shown over the interval [0, 42] a. On w...

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Q: Verify that the series nº + n=1 satisfies the conditions of the Integral Test, then use the Integral...

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 1 and x = 3 x-intercept...

A: Question- Write an equation for a rational function with:   Vertical asymptotes at x = 1 and x = 3  ...

Q: dy (16) 2xy = x² + 2y² dx

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Q: 4. Ir log a 1, log, 81=b and log, 4 2 then find the value of log ().

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Q: -5 -4 -3 -2 3 4 3 -4+ 18x For the above rational function f( x) = identify its three inflection poin...

A: It can be solved using differentiation.

Q: (1.5,2) 1.5 (0,7, 0.2Y f0.7,0.2) O.5 to - O.5 -0.57 ー15 0.5 1.5 (-1,2,-1) - 15 -2 does f have the ab...

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